The Internet Archive Save Page Now feature can be useful to make sure pages you create are in the Wayback Machine or to create a stable copy of a site you wish to cite in a paper or other project.
ArchiveReady is a tool to assess how well a given website is likely to be archived.
The Library of Congress has tips for making your website more archive-friendly.
The International Internet Preservation Consortium works to establish best practices around web archiving and advocate for the creation and use of web archives.